16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?

Answers

Answer 1

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!


Related Questions

an online music store sells 15 songs for $12. Another online music store sells 10 songs for $9. Which online store has the lower cost per song?

Answers

Answer:

The second store (10 songs for $9)

Step-by-step explanation:

15 songs/$12 = $1.25 per song

10 songs/$9 = $1.11 per song

Answer:

second

Step-by-step explanation:

second bc if you cross multiply 135>120

Which are perfect square trinomials? Select two options.

x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36

Answers

Step-by-step explanation:

An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

Answer:

x2 − 4x + 4

x2 + 10x + 25

Step-by-step explanation:

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?

Answers

In 1 hour the boat traveled :
27/2 = 13,5 miles
In 1/2 hour the boat will travel :
13,5 x 1/2 = 6,75 miles

Ok done. Thank to me:>

HELP PLEASEE!!!

In Asha's science experiment, her bacteria are dying at a constant rate of $600$ an hour. If she drew a graph of the number of bacteria in her culture where $x$ represented the time in minutes since the start of the experiment and $y$ represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line?

Answers

Answer:

-10

Step-by-step explanation:

The rate of change is also known as the slope of the function thus the slope will be -600.

What is the slope?

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given,

Bacteria are dying at a constant rate of $600$ an hour.

The rate of change = -600/hour

Slope = y/x = number of bacteria change/time taken

If the graph is a straight line then it will remain constant.

Slope = -600

Hence "The rate of change is also known as the slope of the function thus the slope will be -600".

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Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2

Answers

Answer:

D. x = 2y²

Step-by-step explanation:

The step in working out the inverse is to swap over the variables.

If we apply same to given equation, we'll have:

y = 2x²  → x = 2y²

It gives us the option D

Answer:

Option D

Step-by-step explanation:

y=2x²

Interchange x and y

x=2y²

Hence option D is correct

y²=x/2y=√x/2

Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

Answers

The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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how do you do this? appreciated for your help

Answers

Answer:

1/20 E

Step-by-step explanation:

11.74 - 11.69 = .05

.05 =1/20

Answer:

E. 1/ 20 seconds

Step-by-step explanation:

The distance covered by both the athletes is the same.

So, calculating the difference between their times:

Bryan completed the race in 11.74 secondsLuis completed the race in 11.69 seconds

DIFFERENCE:

That means, Luis completed the race before Bryan, and the difference between their times is:

= 11.74 - 11.69

= 0.05 seconds

CONVERSION:

To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )

[tex]=0.05 \times \frac{100}{100}[/tex]

[tex]= \frac{5}{100}[/tex]

5's a common factor in both numerator and denominator hence, it cancels out

[tex]=\frac{1}{20}[/tex]

ANSWER:

Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.

The police are searching for a bank that has been on the run for two hours. Based on his running speed, the police believe he could be anywhere within an 8.5 mile radius of the bank. Find the area and circumference of the region in which they must search for the suspect. Round to the nearest whole unit.

Answers

Answer:

π is equivalent to 3.14

Circumfrance =  53

area = 227

Step-by-step explanation:

π is equal to 3.14

Circumfrance = 8.5*2*π

So 8.5 * 2 is 17 times π is 53.38

round to nearest whole number is 53

area is π * radius squared so

8.5 * 8.5 =72.25

* π is 226.865

round to the nearest whole number is 227

Given that lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and measure of angle 7 Explain your reasoning and show your work.


tysm in advance

Answers

4x-30=2x+50
+30 +30

4x=2x+80
-2x -2x

2x=80
/2 /2

X=40

4(40)-30=130°

2(40)+50=130°

180-130=50°

Angle 7=50°

The required measure of the angle 1 and 7 is given as 130° and 40° respectively.

Given that,
Lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and the measure of angle 7 .

What is the angle?

The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
From the figure,
∠1 = ∠5
4x - 30 = 2x + 50
2x = 80
x = 40
Now,
∠ 1 = 4 [40] - 30
∠1 = 130° = ∠5

∠7 = 180 - ∠5
∠7 = 180 - 130 = 40°

Thus, the required measure of the angle 1 and 7 is given as 130° and 40° respectively.

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If the price of a particular chocolate bar is increased by 40%, and it used to be $2, what is the new price after the increase?

Answers

Answer:

6$

Step-by-step explanation:

2+4=6

20%+40%=60%

The new price after the increase is $2.8 .

What is percent increase?

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. In other words, it is the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.

According to the question

The price of chocolate bar = $2

The price of a particular chocolate bar is increased by 40%,

i.e

The percent increase in the price of chocolate bar = 40%

Now,

increase prize :

= [tex]2*\frac{40}{100}[/tex]

= $0.8  

The new price after the increase

= $2.8

Hence, the new price after the increase is $2.8 .

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What is the slope of the line in the graph?

Answers

Answer:

1

Step-by-step explanation:

Pick two points on the line

(0,1) and (1,2)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 2-1)/(1-0)

   = 1/1

   =1

cellus If investments double every 7 years and you start with a $600 investment, how much money would you have after 21 years? ​

Answers

Answer:

4800$

Step-by-step explanation:

1 day = 600

7 years = 600 x 2 = 1200$

14 years = 1200 x 2 = 2400$

21 years = 2400 x 2 = 4800$

I need the answers to the ones with an x by them please and thank you guys I really need this It’s home work

Answers

Answer:

Sorry I took so long, I hope I helped though

3) 2.428

5) 5.414

6) 8.29

10) 3.34

11) 42.35

12) 24.276

14) 6.777

17) 17

18) 19

19) 50.6

20) 17

26) basically add them all, I got the answer 1

27) 0.29+0.24 is 0.53

28) your answer is right, one fourth of 1 is .25, so the answer is 0.15+0.08+0.02

Can somebody help ????

Answers

Answer:

Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.

10 times 7 + 5^2/2 times 5

Answers

Answer:

132.5

Step-by-step explanation:

10x7=70

5^2=25

70+25/2x5

70+12.5x5

70+62.5=132.5

POINT out the correct ANSWER (Free_

You get 35 points for free by answering one question
How many points do you get by answering this question?

Answers

Answer:

40...................................

Answer:

35 points because you said so O-O

For the following quadratic equation, find the discriminant. –4x² + 24x – 152 = 0

Answers

Answer: no real solution

There are only 9 counters in a bag. There are 2 red counters 3 green counters 4 blue counters Lethna takes at random a counter from the bag. (a) Write down the probability that she takes
(i) a blue counter,

A white counter ​

Answers

Blue counter-4/9
White counter -0

Please help, thanks. NO LINKS!

Answers

Answer:

c

Step-by-step explanation:

Lets take a look at the line. We see that the point is between 5 and 6, which means A is wrong. Now lets just count the number of lines between the two points, where 5 is starting at 5 0/6 and 6 is 5 6/6. So as we go, we find that the point B is 4/6 of the way to 6. This means that the best answer is B) 5 4/6.

I hope this helps! :)

SOMEONE PLS HELP ME!!!

Answers

Answer:

refer to the picture attached for steps

List the congruent sides.

Answers

Answer:

PQ≅ST; QR ≅TW; PR ≅SW

Step-by-step explanation:

What is Osmosis? brainliest to anybody who can answer this correctly

Answers

Answer:

Osmosis is the diffusion of water to an area of high water concentration to an area of low water concentration.

Step-by-step explanation:

Answer:

the spontaneous passage or diffusion of water or other solvents through a semipermeable membrane

Step-by-step explanation:

a process by which molecules of a solvent tend to pass through a semipermeable membrane from a less concentrated solution into a more concentrated one, thus equalizing the concentrations on each side of the membrane.

please, help!!!! Bussines Calc. I give 20 points. I need a full explanation.

Answers

I believe you are trying to find the most Cheapest cost?

Since the area had to be 1200m^2 the most biggest numbers we could divide with is 30 x 40, which equals to 1200.

30 x 20 (expensive one the lower) = 600 (wall 3) + 20 x 20 = 1000 (wall 3 + wall 1)

40 x 13 (cheapter one the higher) = 520 (wall 4) + 32 x 13 = 936 (wall 4 + wall 2)

Add all together, $1936 to build the whole fence.

(I don't know for sure if I am right. If I am right, can I have a brainliest?)

Zoom in so you can see it
I will give you 50 point and brain list

Answers

Answer:

so this is what it should be let me know if this Is wrong

Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake

Answers

Answer:

19, I'm pretty sure?

please help

Jay buys a certain brand of cereal that costs $15 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand, y = 10x Part A: How many more dollars is the price of a box of Jay's original brand of cereal than the price of a box of the super-saving brand? Show your work. (5 points) Part B: How much money does Jay save each month with the change in cereal brand if he buys 8 cereal boxes each month? Show your work. (5 points)​

Answers

A.

Jay's original brand is $5 more than the price of a box of the super-saving brand.

Since Jay's original brand costs $15 per box and the price of Luke's super-saving brand is y = 10x where x = number of boxes. For one box, x = 1.

So, y = 10x

y = 10 × 1

y = $10

So, Jay's brand costs $15 per box and Luke brand cost $10 per box.

So, the difference in price is per box is $15 - 10$ = $5

So, Jay's original brand is $5 more than the price of a box of the super-saving brand.

B.

Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month

Since the difference in price for each box bought is $5. Jay saves $5 for every super-saving cereal brand he buys.

So, if he buys 8 cereal boxes per month, he saves $5 per box × 8 boxes per month = $40 per month.

So, Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month

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(12a-9b+7)+(2a-3b-14)

Answers

Answer:

14a - 12b - 7

Step-by-step explanation:

remove the parentheses

12a - 9b + 7 + (2a - 3b - 14)

collect like terms

14a - 9b + 7 - 3b - 14


solution

14a - 12b - 7

make your own dish pantry package potluck portfolio

Answers

Answer:

huh??

Step-by-step explanation:

Use mental math to find the missing number. Enter your answer in the box.42,000 ÷ = 600

Answers

Answer:

7 is the required answer.

Step-by-step explanation:

4200 ÷ 7 = 600

There are 48 people in the stands cheering for ——— at the volleyball game and they are wearing white and maroon shirts. The ratio of marron to white is 5:3. How many people were wearing white shirts?

Answers

3 beacuse it says the ratio is maroon to white meaning that 3 is white
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